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Finding the Third Proportional to 259,204.50 and 423,258.75

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Solution

The third proportional to 259,204.50 and 423,258.75 is: 691,145.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,204.50 : 423,258.75 = 423,258.75 : x
  2. Step 2: Convert to fraction form
    259,204.50/423,258.75 = 423,258.75/x
  3. Step 3: Cross multiply
    259,204.50x = 423,258.75 × 423,258.75
  4. Step 4: Simplify right side
    259,204.50x = 179,147,969,451.56
  5. Step 5: Solve for x
    x = 179,147,969,451.56/259,204.50
  6. Step 6: Final answer
    x = 691,145.29

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.